840545227319040 has 2016 divisors, whose sum is σ = 3275937927097920. Its totient is φ = 205747961462784.

The previous prime is 840545227319033. The next prime is 840545227319047. The reversal of 840545227319040 is 40913722545048.

It is a happy number.

840545227319040 is a `hidden beast` number, since 8 + 4 + 0 + 5 + 4 + 522 + 73 + 1 + 9 + 0 + 40 = 666.

840545227319040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (840545227319033) and next prime (840545227319047).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (840545227319047) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 145448210871 + ... + 145448216649.

It is an arithmetic number, because the mean of its divisors is an integer number (1624969209870).

Almost surely, 2^{840545227319040} is an apocalyptic number.

840545227319040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 840545227319040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637968963548960).

840545227319040 is an abundant number, since it is smaller than the sum of its proper divisors (2435392699778880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

840545227319040 is a wasteful number, since it uses less digits than its factorization.

840545227319040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6061 (or 6032 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 840545227319040 in words is "eight hundred forty trillion, five hundred forty-five billion, two hundred twenty-seven million, three hundred nineteen thousand, forty".